7 Febbraio, 2022 14:00
Sezione di Fisica Matematica
Fermionic semiclassical L^p estimates
Ngoc Nhi Nguyen, Univeristé Paris-Saclay
Sala di Rappresentanza, Dipartimento di Matematica, Università di Milano, via Saldini 50
Abstract
Spectral properties of Schrödinger operators are studied a lot in mathematical physics. They can give the description of trapped fermionic particles. Researches on the spatial concentration of semiclassical Schrödinger operators’ eigenfunctions are still carried out, whether in physics or in mathematics. There are very precise results in special cases like the harmonic oscillator. However, it is not always possible to obtain explicitly point wise information for more general potentials. We can measure the concentration by estimating these functions with L^p bounds.